Combining Like Terms and Distributive Property Challenge

The video tutorial covers the objectives of combining like terms and using the distributive property to simplify expressions. It provides examples and practice problems, emphasizing the importance of understanding variables, constants, and the order of operations. The lesson concludes with a summary and encourages students to take notes and complete practice worksheets.

What is the main objective of today's class?

• To practice algebraic expressions with real-life examples

• To simplify expressions using like terms and distributive property

• To understand the distributive property

• To learn about variables and constants

What are like terms in an algebraic expression?

• Terms that have the same variable or are constants

• Terms that have different variables

• Terms that have the same coefficient

• Terms that are both positive

How do you combine the terms 3n and 8n?

• 11n

• 11

• 5n

• 24n

What does the distributive property allow you to do?

• Combine like terms

• Subtract terms inside a parenthesis

• Divide terms inside a parenthesis

• Multiply a term outside the parenthesis to each term inside

What real-life example is used to explain the distributive property?

• A library system

• A school cafeteria

• A Walmart distribution center

• A post office

How do you simplify the expression -1(1 - 8x)?

• -1 - 8x

• -9x

• -1 + 8x

• 1 - 8x

What is the result of distributing 5 to -9a + 7?

• -45a + 35

• 50a - 35

• -2a + 12

• 45a + 35

What common error do students make related to order of operations?

• Distributing before adding

• Subtracting before multiplying

• Multiplying before adding

• Adding before distributing

What should you do first when simplifying 3(2 + 5)?

• Subtract 5 from 2

• Distribute 3 to both 2 and 5

• Multiply 3 by 2

• Add 2 + 5

After distributing and simplifying, what is the next step in the process?

• Add all coefficients

• Subtract the highest terms

• Divide the constants

• Combine like terms